Problem $3(15$ points$)$ The deck structure below is supported by six thin columns$/$struts as shown. The applied load at point $D$ is in the $x-z$ plane and the applied load at point $K$ is in the negative $z-$direction. Ignoring the weight of the deck itself, find the forces in members AE and CJ $,$ clearly indicating whether they are in tension or compression.

$AE=CJ=q,$

$D=8k$

$dx=$dcos$$

$dx=8cos30$

$dx=4\sqrt[\phantom{2}]{3}$

D$*$

dzdsin$30$

$dz8sin30$

$dz=4$

$c_{J}y=C_J\frac{dy}{d}$

Dx$.$ iJy

GEMZ@B$=0.$

$d_{(j)}=$

$d_{(5)}=$

$D_7,7x,AE$